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Charalambous, Charalambos Y.; Litke, Erica – ZDM: The International Journal on Mathematics Education, 2018

In this study, we use Mathematical Quality of Instruction (MQI), a content-specific observation framework, to examine the mathematical quality of instruction of three focal lessons in order to examine the instructional aspects illuminated by this framework as well as discuss those aspects not captured by MQI. While prior work provides evidence on…

Descriptors: Instructional Effectiveness, Educational Quality, Mathematics Instruction, Comparative Analysis

Richard, Philippe R.; Oller Marcén, Antonio Miguel; Meavilla Seguí, Vicente – ZDM: The International Journal on Mathematics Education, 2016

Our article aims to show how illuminating mathematical work as a concept from didactics of mathematics is useful in understanding issues relating to proving and learning of proof, with or without technology. After posing our hypotheses on the relationship of proof with mathematical work, the pedagogical intent of historical elements of geometry…

Descriptors: Mathematical Concepts, Mathematical Logic, Validity, Mathematics

Otten, Samuel; Engledowl, Christopher; Spain, Vickie – ZDM: The International Journal on Mathematics Education, 2015

Univocal discourse, characterized by its function of conveying information from one person to another, is common in mathematics classrooms but dialogic teaching aims at students coming to participate in dialogic discourse, that is, discourse functioning to generate new meaning within a community. Many mathematical practices are directed at the…

Descriptors: Dialogs (Language), Discourse Analysis, Secondary School Mathematics, Accuracy

Leikin, Roza; Waisman, Ilana; Leikin, Mark – ZDM: The International Journal on Mathematics Education, 2016

We asked: "What are the similarities and differences in mathematical processing associated with solving learning-based and insight-based problems?" To answer this question, the ERP research procedure was employed with 69 male adolescent subjects who solved specially designed insight-based and learning-based tests. Solutions of…

Descriptors: Problem Solving, Mathematics, Mathematics Instruction, Evidence

Waisman, Ilana; Leikin, Mark; Leikin, Roza – ZDM: The International Journal on Mathematics Education, 2016

Mathematical processing associated with solving short geometry problems requiring logical inference was examined among students who differ in their levels of general giftedness (G) and excellence in mathematics (EM) using ERP research methodology. Sixty-seven male adolescents formed four major research groups designed according to various…

Descriptors: Mathematics Instruction, Cognitive Processes, Geometry, Mathematical Logic

Elia, Iliada; Özel, Serkan; Gagatsis, Athanasios; Panaoura, Areti; Özel, Zeynep Ebrar Yetkiner – ZDM: The International Journal on Mathematics Education, 2016

This study investigates students' conceptions of absolute value (AV), their performance in various items on AV, their errors in these items and the relationships between students' conceptions and their performance and errors. The Mathematical Working Space (MWS) is used as a framework for studying students' mathematical work on AV and the…

Descriptors: Mathematical Concepts, Foreign Countries, Comparative Analysis, Surveys

Wang, J.; Lu, X. – ZDM: The International Journal on Mathematics Education, 2018

As a component of the ongoing development of the mathematics curriculum in China, we compare the country's high school mathematics textbooks with those of several other countries. We base our analysis on the assumption that textbooks, as primary printed teaching resources, are key tools for interpreting educational policy. In this paper, we…

Descriptors: Secondary School Mathematics, Textbooks, Comparative Analysis, Foreign Countries

Using Comparison of Multiple Strategies in the Mathematics Classroom: Lessons Learned and Next Steps

Durkin, Kelley; Star, Jon R.; Rittle-Johnson, Bethany – ZDM: The International Journal on Mathematics Education, 2017

Comparison is a fundamental cognitive process that can support learning in a variety of domains, including mathematics. The current paper aims to summarize empirical findings that support recommendations on using comparison of multiple strategies in mathematics classrooms. We report the results of our classroom-based research on using comparison…

Descriptors: Comparative Analysis, Mathematics Instruction, Algebra, Problem Solving

Lobato, Joanne; Walters, C. David; Hohensee, Charles; Gruver, John; Diamond, Jaime Marie – ZDM: The International Journal on Mathematics Education, 2015

Even in the resource-rich, more ideal conditions of many design-based classroom interventions, unexpected events can lead to disappointing results in student learning. However, if later iterations in a design research study are more successful, the previous failures can provide opportunities for comparisons to reveal subtle differences in…

Descriptors: Research Design, Instructional Design, Mathematics Instruction, Mathematical Concepts

Kotsopoulos, Donna; Cordy, Michelle; Langemeyer, Melanie – ZDM: The International Journal on Mathematics Education, 2015

This research examined how children represent motion in large-scale mapping tasks that we referred to as "motion maps". The underlying mathematical content was transformational geometry. In total, 19 children, 8- to 10-year-old, created motion maps and captured their motion maps with accompanying verbal description digitally. Analysis of…

Descriptors: Children, Motion, Maps, Geometry

de Araujo, Zandra; Otten, Samuel; Birisci, Salih – ZDM: The International Journal on Mathematics Education, 2017

The rise of digital resources has had profound effects on mathematics curricula and there has been a concurrent increase in teachers flipping their instruction--that is, assigning instructional videos or multimedia for students to watch as homework and completing problem or exercise sets in class rather than vice versa. These changes have created…

Descriptors: Mathematics Instruction, Video Technology, Homework, Teaching Methods

Fan, Lianghuo; Xiong, Bin; Zhao, Dongchen; Niu, Weiqiang – ZDM: The International Journal on Mathematics Education, 2018

Focusing on issues about the development of mathematics textbooks from a cultural perspective, this study examined a widely-used curriculum resource series, "One Lesson One Exercise," published in China, and its adapted English series, published in the UK, to explore how cultural influence is manifested in the two series of resource…

Descriptors: Cultural Influences, Mathematics Education, Textbooks, Comparative Analysis

König, Johannes; Kramer, Charlotte – ZDM: The International Journal on Mathematics Education, 2016

Due to the need for measurement instruments that allow an investigation of teachers' situational cognition and thus go beyond the limited scope of classical paper-and-pencil-tests, we ask how a specific video-based measurement of teachers' classroom management expertise can provide additional information when compared with an established…

Descriptors: Pedagogical Content Knowledge, Classroom Techniques, Expertise, Classroom Observation Techniques

Pollack, Courtney; Leon Guerrero, Sibylla; Star, Jon R. – ZDM: The International Journal on Mathematics Education, 2016

Higher-level mathematics requires a connection between literal symbols (e.g., "x") and their mental representations. The current study probes the nature of mental representations for literal symbols using both the priming distance effect, in which ease of comparing a target number to a fixed standard is a function of prime-target…

Descriptors: Comparative Analysis, Mathematics, Priming, Symbols (Mathematics)

Babai, Reuven; Nattiv, Laura; Stavy, Ruth – ZDM: The International Journal on Mathematics Education, 2016

Students' difficulties in mathematics and science may stem from interference of irrelevant salient variables. We focus on the comparison of perimeters task, in which area is the irrelevant salient variable. A previous fMRI brain-imaging study related to the comparison of perimeters task suggested that increasing the level of salience of the…

Descriptors: Comparative Analysis, Academic Achievement, Mathematics, Mathematics Instruction

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